Shaykh Fawzaan was asked:

 Is this supplication considered comprehensive and sufficient over the other supplications:

‘O Allah indeed I ask you for the good which your prophet Muhammad sallallaahu alaihi wa sallam and your righteous slaves asked you for’

Answer:

This is a tremendous supplication, however it does not remove the need for the remaining supplications; rather the people supplicate with all the supplications they are aware of, increasing (in) good and he doesn’t restrict himself upon any one (supplication).

The prophet sallallaahu alaihi wa sallam did not restrict himself upon one (supplication) rather he used to supplicate with this one sometimes, this one sometimes and this one sometimes (i.e he would vary the supplications he would make).

Source: http://www.alfawzan.af.org.sa/node/2365